Soccer!

Probability Level 2

In a Soccer tournament, there are 9 participating teams. Each team has 1 home and 1 away game against each opponent in the Group Stage.

The top 4 in the Group Stage then qualify for the Playoffs, where there are 2 semi-finals (Between 1st and 3rd and between 2nd and 4th), followed by 1 final (between the two winners of the two semi finals).

Richard wishes to buy 1 ticket each for every match, at a discounted rate of $45.

Find how much he has to pay.


The answer is 3375.

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Sarupya Ganguly by Sarupya Ganguly , 24, India

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2 solutions

Ashwin Upadhyay
Oct 10, 2014

if we first take only home matches , it accounts for 1+2+3+....+8= 36 matches. For home + away matches, multiply it by 2 = 72 matches Thus, total matches = 72 + 2 semi finals + 1 final =75 matches. thus answer is 75 * 45

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John Taylor
Apr 6, 2015

Correct me if I am mistaken, but if each team plays 2 games 9 x 2 =18, plus the 2 from the semifinal and the final gives 21 games. Then 45 x 21 = 945. I got the right answer in the end when I did ((9 x 8 + 3) x 45), giving me 3375, but if each team plays 2 games, then the answer should be 945. Just a thought.

0 Helpful 0 Interesting 0 Brilliant 0 Confused

John, each team plays 2 games against each opponent, as is mentioned in the question.

Refer to the solution given by Ashwin Upadhyay right above. That will give you an accurate solution.

Sarupya Ganguly - 6 years, 2 months ago

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